Details

Time bar (total: 1.7s)

analyze11.0ms

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

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify451.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
046511
146511

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity_binary64
56×add-sqr-sqrt_binary64
49×times-frac_binary64
30×sqrt-prod_binary64
26×add-cube-cbrt_binary64
18×difference-of-squares_binary64
13×distribute-lft-out_binary64
9×distribute-lft-out--_binary64
6×associate-/l*_binary64
5×add-exp-log_binary64 add-cbrt-cube_binary64
4×associate-/r*_binary64 pow1_binary64 associate-/r/_binary64
3×add-log-exp_binary64
2×flip3-+_binary64 associate-/l/_binary64 rem-sqrt-square_binary64 div-inv_binary64 flip-+_binary64
1×pow1/2_binary64 flip3--_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 flip--_binary64 sqrt-div_binary64
Counts
3 → 100
Calls
3 calls:
1.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
8.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
20.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))

series22.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
5.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
12.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))

simplify53.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
059251355

prune97.0ms

Filtered
69 candidates to 109 candidates (-58.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh000
Picked011
Done000
Total1082110

Merged error: 0b

Counts
110 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
170×*-un-lft-identity_binary64
169×add-sqr-sqrt_binary64
148×times-frac_binary64
95×sqrt-prod_binary64
77×add-cube-cbrt_binary64
48×associate-*r*_binary64
32×add-exp-log_binary64
30×difference-of-squares_binary64
27×associate-*l*_binary64
21×distribute-lft-out_binary64
20×add-cbrt-cube_binary64
15×unswap-sqr_binary64 distribute-lft-out--_binary64
14×associate-/r*_binary64
11×div-exp_binary64
10×sqrt-div_binary64
9×pow1_binary64 associate-/l*_binary64
8×associate-/r/_binary64 prod-exp_binary64
6×cbrt-undiv_binary64
5×flip3-+_binary64 flip-+_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64 div-inv_binary64
3×1-exp_binary64 rec-exp_binary64 pow-flip_binary64
2×associate-/l/_binary64 pow1/2_binary64 sqrt-pow1_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 div-sub_binary64 rem-sqrt-square_binary64 inv-pow_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 253
Calls
4 calls:
3.0ms
(sqrt.f64 (+.f64 1 x))
7.0ms
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
9.0ms
(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
40.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))

series21.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt.f64 (+.f64 1 x))
5.0ms
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
8.0ms
(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
4.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))

simplify65.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051123464

prune245.0ms

Filtered
141 candidates to 265 candidates (-87.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2650265
Fresh000
Picked011
Done011
Total2652267

Merged error: 0b

Counts
267 → 2

regimes107.0ms

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
02519
12519

end0.0ms

sample486.0ms

Algorithm
intervals
Results
386.0ms8000×body80valid

Profiling

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