Details

Time bar (total: 1.7s)

analyze70.0ms (4.2%)

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
0%0%99.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
40.6%40.6%59.3%0.1%0%0%0%7
55.6%54.6%43.7%0.1%1.6%0%0%8
65.3%63.2%33.6%0.1%3.1%0%0%9
75.1%70.6%23.4%0.1%5.9%0%0%10
80.9%75.1%17.8%0.1%7%0%0%11
86.7%78.9%12.1%0.1%8.9%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample895.0ms (53.8%)

Results
846.0ms8256×body256valid
34.0ms358×body256infinite
Bogosity

preprocess77.0ms (4.6%)

Algorithm
egg-herbie
Rules
372×fma-def_binary64
348×fma-neg_binary64
253×times-frac_binary64
210×div-sub_binary64
151×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11714
23214
35314
410414
519414
634114
786414
8258614
9314014
10323114
11324314
12324514
13325514
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 x y) x)
(/.f64 (-.f64 y x) y)
Outputs
(/.f64 (-.f64 x y) x)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 y x) y)
(-.f64 1 (/.f64 x y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify51.0ms (3.1%)

Algorithm
egg-herbie
Rules
221×fma-def_binary64
170×fma-neg_binary64
139×div-sub_binary64
107×times-frac_binary64
67×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1107
2187
3307
4567
5847
61417
72557
85637
98847
1012287
1112867
1213527
1313937
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) x)
Outputs
(/.f64 (-.f64 x y) x)
(-.f64 1 (/.f64 y x))

eval1.0ms (0.1%)

Compiler

Compiled 12 to 7 computations (41.7% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 1 (/.f64 y x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.6%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (/.f64 y x))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series7.0ms (0.4%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 1 (/.f64 y x))
1.0ms
y
@inf
(-.f64 1 (/.f64 y x))
1.0ms
y
@0
(-.f64 1 (/.f64 y x))
1.0ms
x
@-inf
(-.f64 1 (/.f64 y x))
1.0ms
x
@inf
(-.f64 1 (/.f64 y x))

rewrite86.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
708×pow1_binary64
659×add-log-exp_binary64
659×log1p-expm1-u_binary64
659×expm1-log1p-u_binary64
646×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217147
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))) (-.f64 1 (pow.f64 (/.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (neg.f64 (+.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) x) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (-.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))))))

simplify34.0ms (2.1%)

Algorithm
egg-herbie
Rules
20×fma-def_binary64
12×sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08183
115147
224147
333147
444147
559147
674147
791147
8102147
9116147
Stop Event
saturated
Counts
52 → 33
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))

eval14.0ms (0.8%)

Compiler

Compiled 359 to 193 computations (46.2% saved)

prune10.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334
Error
0b
Counts
34 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
36.7b
(/.f64 (neg.f64 y) x)
0.0b
(-.f64 1 (/.f64 y x))
26.9b
1
Compiler

Compiled 16 to 12 computations (25% saved)

localize13.0ms (0.8%)

Compiler

Compiled 10 to 4 computations (60% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
36.7b
(/.f64 (neg.f64 y) x)
0.0b
(-.f64 1 (/.f64 y x))
26.9b
1
Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
36.7b
(/.f64 (neg.f64 y) x)
0.0b
(-.f64 1 (/.f64 y x))
26.9b
1
Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
36.7b
(/.f64 (neg.f64 y) x)
0.0b
(-.f64 1 (/.f64 y x))
26.9b
1
Compiler

Compiled 16 to 12 computations (25% saved)

regimes38.0ms (2.3%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(/.f64 (neg.f64 y) x)
(-.f64 1 (/.f64 y x))
(/.f64 (-.f64 x y) x)
Outputs
(-.f64 1 (/.f64 y x))
Calls

4 calls:

16.0ms
y
8.0ms
x
6.0ms
(/.f64 (-.f64 x y) x)
6.0ms
(/.f64 (-.f64 x y) x)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (-.f64 x y) x)
0.0b1(/.f64 (-.f64 x y) x)
Compiler

Compiled 37 to 22 computations (40.5% saved)

regimes67.0ms (4%)

Accuracy

Total -45.4b remaining (-278.7%)

Threshold costs -45.4b (-278.7%)

Counts
2 → 3
Calls
Call 1
Inputs
1
(/.f64 (neg.f64 y) x)
Outputs
(/.f64 (neg.f64 y) x)
1
(/.f64 (neg.f64 y) x)
Calls

2 calls:

39.0ms
x
27.0ms
y
Results
ErrorSegmentsBranch
17.2b5x
16.3b3y
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch63.0ms (3.8%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
5.049321285016875e+23
8.557756692279712e+26
31.0ms
-430.74179652592846
-28.237072325577593
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01533
12333
22833
33133
43233
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 1 (/.f64 y x))
(if (<=.f64 y -7577689821590115/17592186044416) (/.f64 (neg.f64 y) x) (if (<=.f64 y 504932128501687507746816) 1 (/.f64 (neg.f64 y) x)))
1
Outputs
(-.f64 1 (/.f64 y x))
(if (<=.f64 y -7577689821590115/17592186044416) (/.f64 (neg.f64 y) x) (if (<=.f64 y 504932128501687507746816) 1 (/.f64 (neg.f64 y) x)))
1
Compiler

Compiled 29 to 19 computations (34.5% saved)

soundness141.0ms (8.5%)

Algorithm
egg-herbie
Rules
221×fma-def_binary64
170×fma-neg_binary64
139×div-sub_binary64
107×times-frac_binary64
67×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1107
2187
3307
4567
5847
61417
72557
85637
98847
1012287
1112867
1213527
1313937
Stop Event
saturated
Compiler

Compiled 23 to 14 computations (39.1% saved)

end69.0ms (4.1%)

Compiler

Compiled 25 to 15 computations (40% saved)

Profiling

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