Details

Time bar (total: 1.7s)

analyze7.0ms (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 (74.1%)

Results
1.2s8256×body128valid
Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify35.0ms (2.1%)

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 2 expressions with local error:

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

series7.0ms (0.4%)

Counts
2 → 24
Calls

2 calls:

4.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite76.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
835×log1p-expm1-u_binary64
835×expm1-log1p-u_binary64
311×prod-diff_binary64
143×egg-rr
75×add-sqr-sqrt_binary64
Counts
2 → 143
Calls

2 calls:

72.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
72.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
115522
2208322
3576422
000
100

simplify53.0ms (3.2%)

Algorithm
egg-herbie
Rules
692×fma-def_binary64
653×fma-neg_binary64
443×cancel-sign-sub-inv_binary64
264×associate-/l/_binary64
194×sub-neg_binary64
Counts
167 → 169
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
061494
1188468
2590456
31925394
44421390
54962390

prune143.0ms (8.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1681169
Fresh000
Picked101
Done000
Total1691170
Error
0b
Counts
170 → 1
Alt Table
StatusErrorProgram
0b
(*.f64 2 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))
Compiler

Compiled 5827 to 4308 computations (26.1% saved)

localize6.0ms (0.4%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0b
(*.f64 2 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes53.0ms (3.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
8 → 1
Compiler

Compiled 647 to 550 computations (15% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11314
21214

end38.0ms (2.3%)

Compiler

Compiled 33 to 27 computations (18.2% saved)

Profiling

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