Details

Time bar (total: 1.4s)

analyze24.0ms (1.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%0.1%6.2%0%0%6
75%65.6%21.9%0.1%12.5%0%0%7
79.6%67.1%17.2%0.1%15.6%0%0%8
86.5%70.2%10.9%0.1%18.7%0%0%9
89.2%71%8.6%0.1%20.3%0%0%10
93%72.6%5.5%0.1%21.9%0%0%11
94.4%73%4.3%0.1%22.6%0%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.0s (73.5%)

Results
956.0ms8256×body256valid
20.0ms246×body256infinite
Bogosity

preprocess83.0ms (6.1%)

Algorithm
egg-herbie
Rules
1158×pow-sqr
1112×sqr-pow
1020×exp-prod
968×associate-/r/
950×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
12234
23934
36834
413834
531134
677734
7219334
8371234
9453034
10610034
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
(exp.f64 (*.f64 (*.f64 y x) x))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(pow.f64 (exp.f64 (*.f64 x y)) y)
(pow.f64 (pow.f64 (exp.f64 x) y) y)
(pow.f64 (exp.f64 x) (*.f64 y y))
(exp.f64 (*.f64 (*.f64 y x) x))
(pow.f64 (exp.f64 (*.f64 x y)) x)
(pow.f64 (exp.f64 x) (*.f64 x y))
(pow.f64 (pow.f64 (exp.f64 x) y) x)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify89.0ms (6.5%)

Algorithm
egg-herbie
Rules
1206×sqr-pow
960×associate-*r/
748×distribute-lft-in
688×unswap-sqr
648×pow-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11417
22517
34317
48717
519917
649917
7138417
8374017
9424617
10523117
11711917
Stop Event
node limit
Counts
1 → 4
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(pow.f64 (exp.f64 (*.f64 x y)) y)
(pow.f64 (exp.f64 x) (*.f64 y y))
(pow.f64 (pow.f64 (exp.f64 x) y) y)

eval1.0ms (0.1%)

Compiler

Compiled 26 to 12 computations (53.8% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New314
Fresh011
Picked000
Done000
Total325
Error
0b
Counts
5 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(exp.f64 (*.f64 (*.f64 x y) y))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x y) y)
Compiler

Compiled 18 to 5 computations (72.2% saved)

series2.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 (*.f64 x y) y)
1.0ms
x
@0
(*.f64 (*.f64 x y) y)
0.0ms
y
@0
(*.f64 (*.f64 x y) y)
0.0ms
x
@inf
(*.f64 (*.f64 x y) y)
0.0ms
x
@-inf
(*.f64 (*.f64 x y) y)

rewrite51.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1146×add-sqr-sqrt
1136×*-un-lft-identity
1068×pow1
1048×add-cube-cbrt
1028×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
111913
2144013
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 y y))))))))

simplify58.0ms (4.2%)

Algorithm
egg-herbie
Rules
1474×distribute-rgt-in
1446×distribute-lft-in
1176×log-prod
718×associate-*r*
698×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035455
187455
2330455
31892455
Stop Event
node limit
Counts
35 → 14
Calls
Call 1
Inputs
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(-.f64 (+.f64 1 (*.f64 x (*.f64 y y))) 1)
(pow.f64 (*.f64 x (*.f64 y y)) 1)
(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y y))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y y))))
Outputs
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 y y))) 1)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(pow.f64 (*.f64 x (*.f64 y y)) 1)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 3)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3) 1/3)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y y)) 2))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(exp.f64 (log.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))

eval3.0ms (0.2%)

Compiler

Compiled 114 to 55 computations (51.8% saved)

prune3.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done000
Total14115
Error
0b
Counts
15 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(exp.f64 (*.f64 (*.f64 x y) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11017
Stop Event
done
saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(exp.f64 (*.f64 y (*.f64 x y)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

soundness0.0ms (0%)

end40.0ms (2.9%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

Profiling

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