Details

Time bar (total: 1.4s)

analyze161.0ms (11.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample821.0ms (57.1%)

Results
807.0ms8256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess18.0ms (1.3%)

Algorithm
2×egg-herbie
Rules
12×associate-/r*_binary64
5×*-commutative_binary64
4×associate-*l*_binary64
4×associate-/l/_binary64
2×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12426
23926
34926
44926
022
122
Stop Event
1×unsound
1×saturated
Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
13×associate-/r*_binary64
5×*-commutative_binary64
4×associate-/l/_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11513
22913
34313
44513
Stop Event
1×saturated
Counts
1 → 2

prune6.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
13.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶13.8b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓13.3b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

series7.0ms (0.5%)

Counts
1 → 24
Calls

6 calls:

1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
x
inf
1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
y
inf
1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
x
-inf
1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
y
-inf
1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
x
0

rewrite45.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
517×log-prod_binary64
482×prod-diff_binary64
180×fma-def_binary64
167×expm1-udef_binary64
167×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118013
2264813
Stop Event
1×node limit
Counts
1 → 46

simplify10.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×+-commutative_binary64
2×associate-*r/_binary64
1×distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012204
121204
228204
Stop Event
1×saturated
Counts
70 → 50

prune24.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New48250
Fresh000
Picked101
Done000
Total49251
Error
0b
Counts
51 → 2
Alt Table
StatusErrorProgram
7.4b
(*.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (*.f64 y 2)))
▶0.0b
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 786 to 424 computations (46.1% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

series6.0ms (0.4%)

Counts
1 → 24
Calls

6 calls:

1.0ms
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
y
0
1.0ms
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
x
0
1.0ms
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
y
inf
1.0ms
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
y
-inf
1.0ms
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
x
-inf

rewrite45.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
903×prod-diff_binary64
290×fma-def_binary64
158×expm1-udef_binary64
158×log1p-udef_binary64
153×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116710
2251310
Stop Event
1×node limit
Counts
1 → 68

simplify10.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×+-commutative_binary64
2×associate-*r/_binary64
1×distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012204
121204
228204
Stop Event
1×saturated
Counts
92 → 72

prune36.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New71172
Fresh101
Picked011
Done000
Total72274
Error
0b
Counts
74 → 2
Alt Table
StatusErrorProgram
▶7.3b
(/.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 992 to 688 computations (30.6% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y)
✓6.9b
(/.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)

series15.0ms (1%)

Counts
2 → 48
Calls

12 calls:

2.0ms
(/.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)
x
-inf
1.0ms
(/.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)
y
-inf
1.0ms
(/.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)
y
inf
1.0ms
(/.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)
y
0
1.0ms
(/.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)
x
inf

rewrite48.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
475×log-prod_binary64
235×pow2_binary64
165×pow1/3_binary64
162×expm1-udef_binary64
162×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0825
117423
2241823
Stop Event
1×node limit
Counts
2 → 85

simplify32.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
36×fma-def_binary64
30×associate-/l*_binary64
21×associate-/l/_binary64
21×times-frac_binary64
18×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016372
129372
243372
348372
453372
564372
675372
7108372
8126372
9137372
10152372
11182372
12244372
13271372
14281372
Stop Event
1×saturated
Counts
133 → 94

prune40.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done011
Total94296
Error
0b
Counts
96 → 2
Alt Table
StatusErrorProgram
✓7.3b
(/.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 1390 to 772 computations (44.5% saved)

regimes43.0ms (3%)

Accuracy

Total 0.0b remaining (65%)

Threshold costs 0.0b (65%)

Counts
8 → 1
Compiler

Compiled 277 to 199 computations (28.2% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1810
Stop Event
1×saturated

end45.0ms (3.1%)

Stop Event
1×done
Remove

(sort x y)

Compiler

Compiled 57 to 43 computations (24.6% saved)

Profiling

Loading profile data...