Details

Time bar (total: 1.4s)

analyze3.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
66.7%50%25%0%25%0%0%4
83.3%62.5%12.5%0%25%0%0%5
91.7%68.7%6.2%0%25%0%0%6
95.8%71.8%3.1%0%25%0%0%7
97.9%73.4%1.6%0%25%0%0%8
99%74.2%0.8%0%25%0%0%9
99.5%74.6%0.4%0%25%0%0%10
99.7%74.8%0.2%0%25%0%0%11
99.9%74.9%0.1%0%25%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.0s (71.8%)

Results
1.0s8256×body256valid
0.0msbody256infinite
Bogosity

preprocess22.0ms (1.5%)

Algorithm
egg-herbie
Rules
12×rational.json-simplify-2
rational.json-simplify-54
rational.json-simplify-43
rational.json-simplify-55
rational.json-simplify-16
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11319
21819
32419
43019
53019
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Outputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
(+.f64 (*.f64 (*.f64 x x) 2) -1)
(+.f64 (*.f64 x (*.f64 x 2)) -1)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (1.3%)

Algorithm
egg-herbie
Rules
12×rational.json-simplify-2
rational.json-simplify-54
rational.json-simplify-43
rational.json-simplify-55
rational.json-simplify-16
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11319
21819
32419
43019
53019
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Outputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
(+.f64 (*.f64 (*.f64 x x) 2) -1)
(+.f64 (*.f64 x (*.f64 x 2)) -1)

eval1.0ms (0.1%)

Compiler

Compiled 22 to 15 computations (31.8% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 x x) 2)
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x x) 2)
0.0ms
x
@inf
(*.f64 (*.f64 x x) 2)
0.0ms
x
@-inf
(*.f64 (*.f64 x x) 2)

rewrite85.0ms (6%)

Algorithm
batch-egg-rewrite
Rules
1338×rational.json-5
1336×exponential.json-3
1336×rational.json-1
1336×rational.json-2
1336×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
15213
217913
364313
4263213
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 x (+.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (fabs.f64 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 x x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 x x) (/.f64 x (fabs.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (/.f64 (*.f64 x x) (neg.f64 (/.f64 x x))) (/.f64 (*.f64 x x) (neg.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (neg.f64 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 x (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 x x) (fabs.f64 (/.f64 (/.f64 x x) (/.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (fabs.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (*.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (*.f64 x x) -2) (fabs.f64 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (neg.f64 (fabs.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (/.f64 (*.f64 x (+.f64 x x)) (fabs.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (*.f64 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (*.f64 (neg.f64 (*.f64 x x)) 2)))))))

simplify234.0ms (16.4%)

Algorithm
egg-herbie
Rules
1382×rational.json-simplify-47
1056×rational.json-simplify-58
1030×rational.json-simplify-1
936×rational.json-simplify-2
524×rational.json-simplify-54
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087572
1211572
2379572
3732572
42283572
56643572
Stop Event
node limit
Counts
44 → 34
Calls
Call 1
Inputs
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 (*.f64 x (+.f64 x x)) 0)
(+.f64 0 (*.f64 x (+.f64 x x)))
(-.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x (+.f64 x x)) 0)
(-.f64 0 (*.f64 (*.f64 x x) -2))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (+.f64 x x)))) 1)
(/.f64 (*.f64 x (+.f64 x x)) 1)
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 x x))
(pow.f64 (*.f64 x (+.f64 x x)) 1)
(neg.f64 (*.f64 (*.f64 x x) -2))
(fabs.f64 (*.f64 x (+.f64 x x)))
(fabs.f64 (*.f64 (*.f64 x x) -2))
(fabs.f64 (*.f64 (neg.f64 (*.f64 x x)) 2))
(fabs.f64 (*.f64 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))) 2))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (fabs.f64 (/.f64 x x))))
(fabs.f64 (*.f64 (+.f64 x x) (fabs.f64 x)))
(fabs.f64 (*.f64 (+.f64 x x) (neg.f64 x)))
(fabs.f64 (*.f64 (+.f64 x x) (/.f64 x (fabs.f64 (/.f64 x x)))))
(fabs.f64 (+.f64 (/.f64 (*.f64 x x) (neg.f64 (/.f64 x x))) (/.f64 (*.f64 x x) (neg.f64 (/.f64 x x)))))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (neg.f64 (/.f64 x x))))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 x (fabs.f64 x))))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 x x) (fabs.f64 (/.f64 (/.f64 x x) (/.f64 x x))))))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (*.f64 2 (fabs.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) -2) (fabs.f64 (/.f64 x x))))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (neg.f64 (fabs.f64 (/.f64 x x)))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 x (+.f64 x x)) (fabs.f64 (/.f64 x x)))))
(fabs.f64 (-.f64 0 (*.f64 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))) 2)))
(fabs.f64 (-.f64 0 (*.f64 (neg.f64 (*.f64 x x)) 2)))
Outputs
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (+.f64 x x))
(+.f64 (*.f64 x (+.f64 x x)) 0)
(*.f64 x (+.f64 x x))
(+.f64 0 (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))
(-.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))
(*.f64 x (+.f64 x x))
(-.f64 (*.f64 x (+.f64 x x)) 0)
(*.f64 x (+.f64 x x))
(-.f64 0 (*.f64 (*.f64 x x) -2))
(*.f64 x (+.f64 x x))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (+.f64 x x)))) 1)
(*.f64 x (+.f64 x x))
(/.f64 (*.f64 x (+.f64 x x)) 1)
(*.f64 x (+.f64 x x))
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (*.f64 x (+.f64 x x)) 1)
(*.f64 x (+.f64 x x))
(neg.f64 (*.f64 (*.f64 x x) -2))
(*.f64 x (+.f64 x x))
(fabs.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))
(fabs.f64 (*.f64 (*.f64 x x) -2))
(*.f64 x (+.f64 x x))
(fabs.f64 (*.f64 (neg.f64 (*.f64 x x)) 2))
(*.f64 x (+.f64 x x))
(fabs.f64 (*.f64 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))) 2))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (fabs.f64 (/.f64 x x))))
(*.f64 x (+.f64 x x))
(fabs.f64 (*.f64 (+.f64 x x) (fabs.f64 x)))
(*.f64 x (+.f64 x x))
(fabs.f64 (*.f64 (+.f64 x x) (neg.f64 x)))
(*.f64 x (+.f64 x x))
(fabs.f64 (*.f64 (+.f64 x x) (/.f64 x (fabs.f64 (/.f64 x x)))))
(*.f64 x (+.f64 x x))
(fabs.f64 (+.f64 (/.f64 (*.f64 x x) (neg.f64 (/.f64 x x))) (/.f64 (*.f64 x x) (neg.f64 (/.f64 x x)))))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (neg.f64 (/.f64 x x))))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))))))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 x (fabs.f64 x))))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 x x) (fabs.f64 (/.f64 (/.f64 x x) (/.f64 x x))))))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (fabs.f64 x) (neg.f64 x))))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (*.f64 2 (fabs.f64 x)))))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 (*.f64 x x) -2) (fabs.f64 (/.f64 x x))))
(*.f64 x (+.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (neg.f64 (fabs.f64 (/.f64 x x)))))
(*.f64 x (+.f64 x x))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 x (+.f64 x x)) (fabs.f64 (/.f64 x x)))))
(*.f64 x (+.f64 x x))
(fabs.f64 (-.f64 0 (*.f64 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))) 2)))
(*.f64 x (+.f64 x x))
(fabs.f64 (-.f64 0 (*.f64 (neg.f64 (*.f64 x x)) 2)))
(*.f64 x (+.f64 x x))

eval7.0ms (0.5%)

Compiler

Compiled 406 to 175 computations (56.9% saved)

prune7.0ms (0.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New34034
Fresh000
Picked011
Done000
Total34135
Error
0b
Counts
35 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Compiler

Compiled 16 to 12 computations (25% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Outputs
(-.f64 (*.f64 (*.f64 x x) 2) 1)
Compiler

Compiled 8 to 6 computations (25% saved)

soundness0.0ms (0%)

end16.0ms (1.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

Profiling

Loading profile data...