Details

Time bar (total: 1.8s)

analyze63.0ms (3.6%)

Algorithm
1×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
53.3%50%43.7%0.1%6.2%0%0%7
63.3%59.3%34.3%0.1%6.2%0%0%8
74.1%67.1%23.4%0.1%9.4%0%0%9
80.2%72.6%18%0.1%9.4%0%0%10
86.4%76.9%12.1%0.1%10.9%0%0%11
89.7%79.8%9.2%0.1%10.9%0%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (63%)

Results
1.1s8256×body256valid
12.0ms149×body256infinite
Bogosity

preprocess32.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
288×fma-def
208×associate-+r+
196×associate-+l+
132×associate-+l-
120×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11826
23726
36926
413426
524826
634926
749926
8103726
9117426
10119826
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 x (-.f64 1 y))
(*.f64 y (-.f64 1 x))
Outputs
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 x y))
(fma.f64 x (neg.f64 y) y)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify46.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
182×fma-def
114×associate-+r+
114×distribute-lft-in
102×associate-*r*
82×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11313
22313
34513
48913
518013
624713
733313
863013
970513
1078713
1179113
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 y))
Outputs
(*.f64 x (-.f64 1 y))
(fma.f64 x (neg.f64 y) x)

eval1.0ms (0.1%)

Compiler

Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Accurracy
100.0%
Counts
3 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x (neg.f64 y) x)
▶100.0%
(*.f64 x (-.f64 1 y))
Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 x (-.f64 1 y))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(*.f64 x (-.f64 1 y))
0.0ms
x
@-inf
(*.f64 x (-.f64 1 y))
0.0ms
x
@inf
(*.f64 x (-.f64 1 y))
0.0ms
x
@0
(*.f64 x (-.f64 1 y))
0.0ms
y
@inf
(*.f64 x (-.f64 1 y))

rewrite62.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1448×add-sqr-sqrt
1432×*-un-lft-identity
1332×add-cube-cbrt
1316×add-cbrt-cube
1306×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114213
2175213
Stop Event
1×node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 y))
Outputs
((+.f64 x (*.f64 x (neg.f64 y))) (+.f64 x (*.f64 (neg.f64 y) x)) (-.f64 (+.f64 1 (*.f64 x (-.f64 1 y))) 1) (/.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y)) (/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y))) (/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (+.f64 1 y)) (/.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (+.f64 1 (fma.f64 y y y))) (pow.f64 (*.f64 x (-.f64 1 y)) 1) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 y))) 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))) 3) (pow.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) 1/3) (sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2)) (log.f64 (pow.f64 (exp.f64 (-.f64 1 y)) x)) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3)) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 y)))) (exp.f64 (log.f64 (*.f64 x (-.f64 1 y)))) (exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 y))) 1)) (log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 y)))))

simplify72.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
906×*-commutative
840×fma-def
654×distribute-lft-neg-out
634×distribute-rgt-neg-out
556×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061618
1142618
2421618
32132618
44693618
Stop Event
1×node limit
Counts
42 → 36
Calls
Call 1
Inputs
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) x))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1 y))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (+.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (+.f64 1 (fma.f64 y y y)))
(pow.f64 (*.f64 x (-.f64 1 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 y))))
Outputs
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 (neg.f64 y) x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1 y))) 1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 x (+.f64 1 y)) (-.f64 1 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1 (*.f64 y y)) (+.f64 1 y)))
(*.f64 (-.f64 1 (*.f64 y y)) (/.f64 x (+.f64 1 y)))
(*.f64 (neg.f64 (fma.f64 y y -1)) (/.f64 x (+.f64 1 y)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 y y y)) (-.f64 1 (pow.f64 y 3))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 y y y))) (-.f64 1 (pow.f64 y 3)))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(*.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 x (+.f64 1 (fma.f64 y y y))))
(*.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 x (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (+.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 x (+.f64 1 y)) (-.f64 1 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1 (*.f64 y y)) (+.f64 1 y)))
(*.f64 (-.f64 1 (*.f64 y y)) (/.f64 x (+.f64 1 y)))
(*.f64 (neg.f64 (fma.f64 y y -1)) (/.f64 x (+.f64 1 y)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (+.f64 1 (fma.f64 y y y)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 y y y)) (-.f64 1 (pow.f64 y 3))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 y y y))) (-.f64 1 (pow.f64 y 3)))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(*.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 x (+.f64 1 (fma.f64 y y y))))
(*.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 x (+.f64 y (fma.f64 y y 1))))
(pow.f64 (*.f64 x (-.f64 1 y)) 1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 y))) 2)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 y))) 3)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) 1/3)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 y)) x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 y))) 1))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))

localize5.0ms (0.3%)

Compiler

Compiled 11 to 4 computations (63.6% saved)

eval33.0ms (1.9%)

Compiler

Compiled 321 to 194 computations (39.6% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New33336
Fresh000
Picked101
Done101
Total35338
Accurracy
100.0%
Counts
38 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (*.f64 y x))
▶42.3%
(*.f64 y (neg.f64 x))
59.7%
x
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize5.0ms (0.3%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize4.0ms (0.2%)

Compiler

Compiled 12 to 4 computations (66.7% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y x))
✓42.3%
(*.f64 y (neg.f64 x))
59.7%
x
Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y x))
✓42.3%
(*.f64 y (neg.f64 x))
59.7%
x
Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y x))
✓42.3%
(*.f64 y (neg.f64 x))
59.7%
x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes47.0ms (2.7%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
Outputs
(-.f64 x (*.f64 y x))
Calls

4 calls:

34.0ms
(*.f64 x (-.f64 1 y))
6.0ms
x
4.0ms
y
3.0ms
(-.f64 1 y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (-.f64 1 y))
100.0%1(-.f64 1 y)
Compiler

Compiled 40 to 24 computations (40% saved)

regimes15.0ms (0.9%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1 y))
Outputs
(*.f64 x (-.f64 1 y))
Calls

4 calls:

5.0ms
x
3.0ms
(*.f64 x (-.f64 1 y))
3.0ms
y
2.0ms
(-.f64 1 y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (-.f64 1 y))
100.0%1(-.f64 1 y)
Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes30.0ms (1.7%)

Accuracy

Total -60.0b remaining (-4349%)

Threshold costs -60b (-4349%)

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

2 calls:

21.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
69.6%7x
97.8%3y
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch91.0ms (5.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
0.2295428503750935
363917346232.7687
51.0ms
-6.28872447447409
-0.0002444510197584862
Results
88.0ms288×body256valid
Compiler

Compiled 210 to 153 computations (27.1% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
14×*-commutative
12×+-commutative
8×sub-neg
6×neg-mul-1
6×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02064
13864
24864
35364
45564
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y x))
(*.f64 x (-.f64 1 y))
(if (<=.f64 y -1) (*.f64 y (neg.f64 x)) (if (<=.f64 y 1) x (*.f64 y (neg.f64 x))))
x
Outputs
(-.f64 x (*.f64 y x))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 1 y))
(if (<=.f64 y -1) (*.f64 y (neg.f64 x)) (if (<=.f64 y 1) x (*.f64 y (neg.f64 x))))
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (*.f64 y (neg.f64 x)) x)
x
Compiler

Compiled 33 to 22 computations (33.3% saved)

soundness90.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
906×*-commutative
840×fma-def
654×distribute-lft-neg-out
634×distribute-rgt-neg-out
556×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061618
1142618
2421618
32132618
44693618
Stop Event
1×node limit
Compiler

Compiled 24 to 13 computations (45.8% saved)

end31.0ms (1.8%)

Compiler

Compiled 27 to 16 computations (40.7% saved)

Profiling

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