Details

Time bar (total: 1.6s)

analyze6.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (75.9%)

Results
1.1s8256×body128valid
Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify35.0ms (2.3%)

Algorithm
egg-herbie
Rules
396×fma-neg_binary64
375×fma-def_binary64
260×div-sub_binary64
123×times-frac_binary64
116×associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11917
22517
33517
45717
57317
610217
715817
824017
929917
1039117
1153617
1277717
1382617
1479917
1572217

prune2.0ms (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
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))

series2.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite67.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
757×log1p-expm1-u_binary64
757×expm1-log1p-u_binary64
311×prod-diff_binary64
108×egg-rr
67×add-sqr-sqrt_binary64
Counts
1 → 108
Calls

1 calls:

63.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113510
2186710
3528710

simplify54.0ms (3.5%)

Algorithm
egg-herbie
Rules
317×difference-of-squares_binary64
309×sub-neg_binary64
309×fma-def_binary64
271×associate-/r*_binary64
269×associate-/l/_binary64
Counts
120 → 122
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027144
186138
2218130
3589128
41909128
54270122
65263122

prune119.0ms (7.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1211122
Fresh000
Picked011
Done000
Total1212123
Error
0b
Counts
123 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.3b
(*.f64 2 (atan.f64 (sqrt.f64 (fma.f64 x -2 1))))
Compiler

Compiled 4978 to 3598 computations (27.7% saved)

localize5.0ms (0.3%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.3b
(*.f64 2 (atan.f64 (sqrt.f64 (fma.f64 x -2 1))))
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes27.0ms (1.7%)

Accuracy

Total 0.0b remaining (12.6%)

Threshold costs 0.0b (12.6%)

Counts
4 → 1
Compiler

Compiled 267 to 229 computations (14.2% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11617
22017
32217
42317
52217

end47.0ms (3%)

Compiler

Compiled 45 to 38 computations (15.6% saved)

Profiling

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