Details

Time bar (total: 3.4s)

analyze49.0ms (1.4%)

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
56.3%56.2%43.7%0.1%0%0%0%7
63.2%56.2%32.8%0.1%10.9%0%0%8
74.3%65.6%22.6%0.1%11.7%0%0%9
79.6%65.6%16.8%0.1%17.6%0%0%10
85.9%70.2%11.5%0.1%18.1%0%0%11
89.2%70.2%8.5%0.1%21.2%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample2.3s (68.3%)

Results
1.6s8256×body256valid
32.0ms424×body256infinite
Bogosity

preprocess144.0ms (4.2%)

Algorithm
egg-herbie
Rules
1084×rational.json-simplify-2
944×rational.json-simplify-19
916×rational.json-simplify-44
896×rational.json-simplify-37
824×rational.json-simplify-39
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
11638
22438
36038
435838
5390738
6612538
7721338
8788538
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (-.f64 (*.f64 y y) x))
Outputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (-.f64 (*.f64 y y) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify235.0ms (6.8%)

Algorithm
egg-herbie
Rules
1816×rational.json-simplify-35
1364×rational.json-simplify-53
1060×rational.json-simplify-39
844×rational.json-simplify-59
650×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11119
21519
33319
418219
5195219
6601019
7790119
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))
Outputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

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 1/2 (-.f64 (*.f64 x x) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite502.0ms (14.6%)

Algorithm
batch-egg-rewrite
Rules
1364×rational.json-simplify-2
1308×rational.json-1
1308×rational.json-2
1308×rational.json-4
1308×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
14013
210513
327113
4107113
5429213
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 x x) (-.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (-.f64 y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 x x) y) 2) (/.f64 (-.f64 (*.f64 x x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 y) (-.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (*.f64 x x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 x x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x x) y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 y (*.f64 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x x) y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 y (*.f64 x x)))))))

simplify105.0ms (3.1%)

Algorithm
egg-herbie
Rules
1188×rational.json-simplify-2
760×rational.json-simplify-61
752×rational.json-simplify-1
732×rational.json-simplify-51
708×rational.json-simplify-59
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
057767
1113767
2226767
3558767
41747767
54827767
66705667
Stop Event
node limit
Counts
49 → 31
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(*.f64 -1 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(*.f64 -1 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (*.f64 x x) (neg.f64 y))
(+.f64 (-.f64 (*.f64 x x) y) 0)
(+.f64 0 (-.f64 (*.f64 x x) y))
(+.f64 (neg.f64 y) (*.f64 x x))
(+.f64 -1 (-.f64 (*.f64 x x) (-.f64 y 1)))
(+.f64 (-.f64 (*.f64 x x) (-.f64 y 1)) -1)
(+.f64 (/.f64 (-.f64 (*.f64 x x) y) 2) (/.f64 (-.f64 (*.f64 x x) y) 2))
(+.f64 (-.f64 -1 y) (-.f64 1 (neg.f64 (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) y) 1)
(*.f64 1 (-.f64 (*.f64 x x) y))
(*.f64 2 (/.f64 (-.f64 (*.f64 x x) y) 2))
(*.f64 (*.f64 (-.f64 (*.f64 x x) y) 2) 1/2)
(*.f64 (-.f64 y (*.f64 x x)) -1)
(*.f64 -1 (-.f64 y (*.f64 x x)))
(*.f64 1/2 (*.f64 (-.f64 (*.f64 x x) y) 2))
(*.f64 (/.f64 (-.f64 (*.f64 x x) y) 2) 2)
(/.f64 (-.f64 (*.f64 x x) y) 1)
(/.f64 (*.f64 (-.f64 (*.f64 x x) y) 2) 2)
(/.f64 (-.f64 y (*.f64 x x)) -1)
(/.f64 (*.f64 (-.f64 (*.f64 x x) y) 4) 4)
(/.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x x) y) 4)) 8)
(/.f64 (*.f64 2 (-.f64 y (*.f64 x x))) -2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x x) y) 4))) 16)
(pow.f64 (-.f64 (*.f64 x x) y) 1)
(neg.f64 (-.f64 y (*.f64 x x)))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(+.f64 (-.f64 (*.f64 x x) y) 0)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(+.f64 0 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(+.f64 (neg.f64 y) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(+.f64 -1 (-.f64 (*.f64 x x) (-.f64 y 1)))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(+.f64 (-.f64 (*.f64 x x) (-.f64 y 1)) -1)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(+.f64 (/.f64 (-.f64 (*.f64 x x) y) 2) (/.f64 (-.f64 (*.f64 x x) y) 2))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(+.f64 (-.f64 -1 y) (-.f64 1 (neg.f64 (*.f64 x x))))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(*.f64 (-.f64 (*.f64 x x) y) 1)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(*.f64 1 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(*.f64 2 (/.f64 (-.f64 (*.f64 x x) y) 2))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(*.f64 (*.f64 (-.f64 (*.f64 x x) y) 2) 1/2)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(*.f64 (-.f64 y (*.f64 x x)) -1)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(*.f64 -1 (-.f64 y (*.f64 x x)))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(*.f64 1/2 (*.f64 (-.f64 (*.f64 x x) y) 2))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(*.f64 (/.f64 (-.f64 (*.f64 x x) y) 2) 2)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(/.f64 (-.f64 (*.f64 x x) y) 1)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(/.f64 (*.f64 (-.f64 (*.f64 x x) y) 2) 2)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(/.f64 (-.f64 y (*.f64 x x)) -1)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(/.f64 (*.f64 (-.f64 (*.f64 x x) y) 4) 4)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(/.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x x) y) 4)) 8)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(/.f64 (*.f64 2 (-.f64 y (*.f64 x x))) -2)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x x) y) 4))) 16)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(pow.f64 (-.f64 (*.f64 x x) y) 1)
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(neg.f64 (-.f64 y (*.f64 x x)))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)

eval5.0ms (0.1%)

Compiler

Compiled 301 to 164 computations (45.5% saved)

prune6.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done000
Total30232
Error
0.0b
Counts
32 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 1/2 (-.f64 (*.f64 x x) y))
22.3b
(*.f64 1/2 (neg.f64 y))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize4.0ms (0.1%)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0.0b
Counts
2 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 1/2 (-.f64 (*.f64 x x) y))
22.3b
(*.f64 1/2 (neg.f64 y))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes16.0ms (0.5%)

Accuracy

Total -22.3b remaining (-570072.3%)

Threshold costs -22.3b (-570072.3%)

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

5 calls:

4.0ms
y
3.0ms
(*.f64 1/2 (-.f64 (*.f64 x x) y))
3.0ms
(-.f64 (*.f64 x x) y)
3.0ms
x
2.0ms
(*.f64 x x)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(*.f64 1/2 (-.f64 (*.f64 x x) y))
0.0b1(-.f64 (*.f64 x x) y)
0.0b1(*.f64 x x)
Compiler

Compiled 40 to 26 computations (35% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (neg.f64 y))
Outputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (neg.f64 y))
Compiler

Compiled 15 to 11 computations (26.7% saved)

soundness0.0ms (0%)

end15.0ms (0.4%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

Profiling

Loading profile data...