Details

Time bar (total: 1.2s)

analyze42.0ms (3.6%)

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
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
48%37.5%40.6%0.1%21.9%0%0%7
57.1%43.7%32.8%0.1%23.4%0%0%8
71.4%54.6%21.9%0.1%23.4%0%0%9
77.3%58.5%17.2%0.1%24.2%0%0%10
85.1%64.4%11.3%0.1%24.2%0%0%11
88.3%66.5%8.8%0.1%24.6%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample632.0ms (54.4%)

Results
616.0ms8256×body256valid
4.0ms56×body256infinite
Bogosity

preprocess147.0ms (12.7%)

Algorithm
egg-herbie
Rules
1084×rational.json-simplify-2
944×rational.json-simplify-19
906×rational.json-simplify-44
902×rational.json-simplify-37
848×rational.json-simplify-39
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
11126
21926
35526
435426
5391326
6616026
7720826
8786626
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 x (*.f64 y y))
(-.f64 y (*.f64 x x))
Outputs
(-.f64 x (*.f64 y y))
(-.f64 y (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify131.0ms (11.3%)

Algorithm
egg-herbie
Rules
1812×rational.json-simplify-35
1348×rational.json-simplify-53
1016×rational.json-simplify-39
866×rational.json-simplify-59
642×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
1813
21213
33013
418013
5195413
6590813
7775113
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 x (*.f64 y y))
Outputs
(-.f64 x (*.f64 y y))

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y y))
Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite59.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
1358×rational.json-simplify-2
1306×rational.json-1
1306×rational.json-2
1306×rational.json-4
1306×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
14013
210513
327113
4107113
5429913
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(-.f64 x (*.f64 y y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 x (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (*.f64 y y)) 2) (/.f64 (-.f64 x (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 x (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 y y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 x (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (*.f64 y y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 y y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 y y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 y y)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 y y) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y y)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 y y) x))))))

simplify102.0ms (8.8%)

Algorithm
egg-herbie
Rules
1126×rational.json-simplify-2
968×rational.json-simplify-41
804×rational.json-simplify-48
722×rational.json-simplify-59
696×rational.json-simplify-51
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057826
1115784
2239784
3590784
41800680
54813680
66928680
Stop Event
node limit
Counts
50 → 32
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 x (*.f64 y (neg.f64 y)))
(+.f64 (-.f64 x (*.f64 y y)) 0)
(+.f64 0 (-.f64 x (*.f64 y y)))
(+.f64 (*.f64 y (neg.f64 y)) x)
(+.f64 -1 (+.f64 1 (-.f64 x (*.f64 y y))))
(+.f64 -1 (+.f64 x (-.f64 1 (*.f64 y y))))
(+.f64 (+.f64 1 (-.f64 x (*.f64 y y))) -1)
(+.f64 (/.f64 (-.f64 x (*.f64 y y)) 2) (/.f64 (-.f64 x (*.f64 y y)) 2))
(+.f64 (+.f64 x (-.f64 1 (*.f64 y y))) -1)
(*.f64 (-.f64 x (*.f64 y y)) 1)
(*.f64 1 (-.f64 x (*.f64 y y)))
(*.f64 2 (/.f64 (-.f64 x (*.f64 y y)) 2))
(*.f64 (*.f64 (-.f64 x (*.f64 y y)) 2) 1/2)
(*.f64 (-.f64 (*.f64 y y) x) -1)
(*.f64 -1 (-.f64 (*.f64 y y) x))
(*.f64 1/2 (*.f64 (-.f64 x (*.f64 y y)) 2))
(*.f64 (/.f64 (-.f64 x (*.f64 y y)) 2) 2)
(/.f64 (-.f64 x (*.f64 y y)) 1)
(/.f64 (*.f64 (-.f64 x (*.f64 y y)) 2) 2)
(/.f64 (-.f64 (*.f64 y y) x) -1)
(/.f64 (*.f64 (-.f64 x (*.f64 y y)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 y y)) 4)) 8)
(/.f64 (*.f64 2 (-.f64 (*.f64 y y) x)) -2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y y)) 4))) 16)
(pow.f64 (-.f64 x (*.f64 y y)) 1)
(neg.f64 (-.f64 (*.f64 y y) x))
Outputs
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (neg.f64 (pow.f64 y 2)) x)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(+.f64 (-.f64 x (*.f64 y y)) 0)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(+.f64 0 (-.f64 x (*.f64 y y)))
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 y (neg.f64 y)) x)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(+.f64 -1 (+.f64 1 (-.f64 x (*.f64 y y))))
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(+.f64 -1 (+.f64 x (-.f64 1 (*.f64 y y))))
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(+.f64 (+.f64 1 (-.f64 x (*.f64 y y))) -1)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(+.f64 (/.f64 (-.f64 x (*.f64 y y)) 2) (/.f64 (-.f64 x (*.f64 y y)) 2))
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(+.f64 (+.f64 x (-.f64 1 (*.f64 y y))) -1)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(*.f64 (-.f64 x (*.f64 y y)) 1)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(*.f64 1 (-.f64 x (*.f64 y y)))
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(*.f64 2 (/.f64 (-.f64 x (*.f64 y y)) 2))
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(*.f64 (*.f64 (-.f64 x (*.f64 y y)) 2) 1/2)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(*.f64 (-.f64 (*.f64 y y) x) -1)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(*.f64 -1 (-.f64 (*.f64 y y) x))
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(*.f64 1/2 (*.f64 (-.f64 x (*.f64 y y)) 2))
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(*.f64 (/.f64 (-.f64 x (*.f64 y y)) 2) 2)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(/.f64 (-.f64 x (*.f64 y y)) 1)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(/.f64 (*.f64 (-.f64 x (*.f64 y y)) 2) 2)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(/.f64 (-.f64 (*.f64 y y) x) -1)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(/.f64 (*.f64 (-.f64 x (*.f64 y y)) 4) 4)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(/.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 y y)) 4)) 8)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(/.f64 (*.f64 2 (-.f64 (*.f64 y y) x)) -2)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y y)) 4))) 16)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(pow.f64 (-.f64 x (*.f64 y y)) 1)
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))
(neg.f64 (-.f64 (*.f64 y y) x))
(+.f64 x (*.f64 y (neg.f64 y)))
(-.f64 x (*.f64 y y))

eval6.0ms (0.5%)

Compiler

Compiled 249 to 109 computations (56.2% saved)

prune4.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New31132
Fresh000
Picked011
Done000
Total31233
Error
0.0b
Counts
33 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y y))
18.9b
x
Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done011
Total022
Error
0.0b
Counts
2 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y y))
18.9b
x
Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done011
Total022
Error
0.0b
Counts
2 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y y))
18.9b
x
Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done011
Total022
Error
0.0b
Counts
2 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y y))
18.9b
x
Compiler

Compiled 10 to 6 computations (40% saved)

regimes13.0ms (1.1%)

Accuracy

Total -18.9b remaining (-483168.6%)

Threshold costs -18.9b (-483168.6%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 y y))
Outputs
(-.f64 x (*.f64 y y))
Calls

4 calls:

4.0ms
x
3.0ms
y
3.0ms
(-.f64 x (*.f64 y y))
2.0ms
(*.f64 y y)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 x (*.f64 y y))
0.0b1(*.f64 y y)
Compiler

Compiled 26 to 15 computations (42.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y y))
x
Outputs
(-.f64 x (*.f64 y y))
x
Compiler

Compiled 10 to 6 computations (40% saved)

soundness0.0ms (0%)

end13.0ms (1.2%)

Compiler

Compiled 8 to 4 computations (50% saved)

Profiling

Loading profile data...