Details

Time bar (total: 1.4s)

analyze3.0ms

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

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body128valid

simplify281.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (273.0ms)

IterNodesCost
075219

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×sqrt-prod_binary64
4×add-sqr-sqrt_binary64
3×*-un-lft-identity_binary64
2×pow1_binary64 add-cube-cbrt_binary64 difference-of-squares_binary64 sqrt-div_binary64
1×add-log-exp_binary64 pow1/2_binary64 flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip--_binary64
Counts
1 → 17
Calls
1 calls:
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05015293

prune16.0ms

Filtered
16 candidates to 20 candidates (-25.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New18220
Fresh000
Picked011
Done000
Total18321

Merged error: 0b

Counts
21 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×sqrt-prod_binary64
9×log-pow_binary64 add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 exp-prod_binary64
6×add-cube-cbrt_binary64
4×pow1_binary64 difference-of-squares_binary64
3×log-prod_binary64
2×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
1×pow1/2_binary64 flip3--_binary64 rem-log-exp_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip--_binary64
Counts
2 → 37
Calls
2 calls:
4.0ms
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
46.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04938576
14938576

prune28.0ms

Filtered
32 candidates to 43 candidates (-34.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh011
Picked011
Done011
Total43346

Merged error: 0b

Counts
46 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt.f64 (+.f64 1 (*.f64 x x)))
0.0b
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
115×sqrt-prod_binary64
95×add-sqr-sqrt_binary64
80×*-un-lft-identity_binary64
78×times-frac_binary64
45×add-cube-cbrt_binary64
42×difference-of-squares_binary64
14×sqr-pow_binary64 unpow-prod-down_binary64
13×associate-/l*_binary64
7×distribute-lft-out--_binary64
6×associate-/r*_binary64 sqrt-div_binary64
4×add-exp-log_binary64 add-cbrt-cube_binary64
3×pow1_binary64
2×flip3-+_binary64 associate-/l/_binary64 add-log-exp_binary64 associate-/r/_binary64 flip-+_binary64
1×pow1/2_binary64 flip3--_binary64 cbrt-undiv_binary64 sqrt-undiv_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64
Counts
2 → 129
Calls
2 calls:
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 x x)))
15.0ms
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))

series123.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(sqrt.f64 (+.f64 1 (*.f64 x x)))
89.0ms
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))

simplify119.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049044361
149044361

prune91.0ms

Filtered
69 candidates to 135 candidates (-95.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh000
Picked011
Done022
Total1353138

Merged error: 0b

Counts
138 → 3

regimes30.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1249

end0.0ms

sample270.0ms

Algorithm
intervals
Results
178.0ms8000×body128valid

Profiling

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