Details

Time bar (total: 1.6s)

analyze49.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
50%50%0.1%5
62.4%37.5%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample13.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify308.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (300.0ms)

IterNodesCost
0311316
1311316

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
11.8b
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64
16×add-sqr-sqrt_binary64
13×times-frac_binary64
11×add-cube-cbrt_binary64
4×associate-/r*_binary64 add-log-exp_binary64 distribute-lft-out_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/l*_binary64
2×pow1_binary64 associate-/r/_binary64 difference-of-squares_binary64
1×flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64
Counts
2 → 47
Calls
2 calls:
17.0ms
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
12.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
52.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

simplify50.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050881181

prune45.0ms

Filtered
42 candidates to 53 candidates (-26.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh000
Picked011
Done000
Total51354

Merged error: 0b

Counts
54 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2))) 3)))
0.1b
(pow.f64 (/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2))) 3)
11.8b
(/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2)))
40.3b
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2))) 3))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity_binary64
62×add-sqr-sqrt_binary64 times-frac_binary64
48×cbrt-prod_binary64
47×add-cube-cbrt_binary64
38×unpow-prod-down_binary64 cube-prod_binary64
16×distribute-lft-out_binary64
10×associate-/r/_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
7×difference-of-squares_binary64
6×add-log-exp_binary64
5×flip3-+_binary64 pow1_binary64 div-inv_binary64 flip-+_binary64
4×associate-/r*_binary64
3×pow-unpow_binary64 sqr-pow_binary64 associate-/l*_binary64
2×cbrt-undiv_binary64 cube-div_binary64 rem-cube-cbrt_binary64 div-exp_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
1×cbrt-div_binary64 pow-to-exp_binary64 sub-neg_binary64 rem-cbrt-cube_binary64 flip3--_binary64 diff-log_binary64 pow1/3_binary64 pow-pow_binary64 clear-num_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 flip--_binary64
Counts
4 → 160
Calls
4 calls:
23.0ms
(-.f64 x (cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2))) 3)))
9.0ms
(pow.f64 (/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2))) 3)
7.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2)))
10.0ms
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2))) 3))

series234.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(-.f64 x (cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2))) 3)))
88.0ms
(pow.f64 (/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2))) 3)
50.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2)))
67.0ms
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 (/.f64 (*.f64 y x) 2))) 3))

simplify100.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050754141

prune95.0ms

Filtered
91 candidates to 172 candidates (-89.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh011
Picked011
Done011
Total1723175

Merged error: 0b

Counts
175 → 3

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (/.f64 2 x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64
3×*-un-lft-identity_binary64 add-log-exp_binary64
2×difference-of-squares_binary64
1×sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 distribute-lft-out--_binary64 times-frac_binary64 flip--_binary64
Counts
1 → 14
Calls
1 calls:
7.0ms
(-.f64 x (/.f64 2 x))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(-.f64 x (/.f64 2 x))

simplify105.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
04822213
14822213

prune8.0ms

Filtered
12 candidates to 17 candidates (-41.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New17017
Fresh000
Picked011
Done022
Total17320

Merged error: 0b

Counts
20 → 3

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03016
13016

end0.0ms

sample371.0ms

Algorithm
intervals
Results
250.0ms7999×body80valid
0.0ms1×body160valid

Profiling

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