Details

Time bar (total: 3.1s)

analyze707.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
0500019

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

3.8b
(/.f64 (*.f64 y t) (*.f64 2 z))
6.7b
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64 times-frac_binary64
12×add-cube-cbrt_binary64
6×associate-/r*_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64
2×add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
1×flip3--_binary64 flip--_binary64
Counts
2 → 58
Calls
2 calls:
6.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))
7.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))

series140.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))
114.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))

simplify89.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049771242
149771242

prune58.0ms

Filtered
44 candidates to 64 candidates (-45.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New62264
Fresh011
Picked101
Done000
Total63366

Merged error: 0.5b

Counts
66 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b
(/.f64 2 (/.f64 t z))
4.9b
(/.f64 y (/.f64 2 (/.f64 t z)))
6.7b
(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
519×times-frac_binary64
299×add-sqr-sqrt_binary64
251×*-un-lft-identity_binary64
243×add-cube-cbrt_binary64
65×associate-/r*_binary64
23×div-inv_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
16×difference-of-squares_binary64
10×cbrt-undiv_binary64 div-exp_binary64
9×associate-/l*_binary64
8×associate-/r/_binary64
4×distribute-lft-out--_binary64
3×add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
1×flip3--_binary64 flip--_binary64
Counts
3 → 315
Calls
3 calls:
6.0ms
(/.f64 2 (/.f64 t z))
12.0ms
(/.f64 y (/.f64 2 (/.f64 t z)))
38.0ms
(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

series153.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/.f64 2 (/.f64 t z))
25.0ms
(/.f64 y (/.f64 2 (/.f64 t z)))
114.0ms
(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

simplify176.0ms

Algorithm
egg-herbie
Counts
324 → 324
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
049697676
149697676

prune295.0ms

Filtered
271 candidates to 324 candidates (-19.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3231324
Fresh022
Picked011
Done000
Total3234327

Merged error: 0.5b

Counts
327 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

1.1b
(/.f64 1 (/.f64 (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))) y))
3.8b
(/.f64 (*.f64 y t) (*.f64 z 2))
6.4b
(/.f64 (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
133×times-frac_binary64
101×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
69×add-cube-cbrt_binary64
28×add-exp-log_binary64
23×associate-/r*_binary64
22×add-cbrt-cube_binary64
16×difference-of-squares_binary64 distribute-lft-out--_binary64
12×div-exp_binary64
9×associate-/l*_binary64
8×cbrt-undiv_binary64
7×div-inv_binary64
4×pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64
2×associate-/l/_binary64 1-exp_binary64 rec-exp_binary64
1×flip3--_binary64 associate-/r/_binary64 div-sub_binary64 inv-pow_binary64 flip--_binary64 pow-flip_binary64
Counts
3 → 159
Calls
3 calls:
10.0ms
(/.f64 1 (/.f64 (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))) y))
6.0ms
(/.f64 (*.f64 y t) (*.f64 z 2))
7.0ms
(/.f64 (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))) y)

series92.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/.f64 1 (/.f64 (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))) y))
21.0ms
(/.f64 (*.f64 y t) (*.f64 z 2))
37.0ms
(/.f64 (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))) y)

simplify115.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049594264
149594264

prune119.0ms

Filtered
100 candidates to 168 candidates (-68.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1671168
Fresh022
Picked101
Done011
Total1684172

Merged error: 0.0b

Counts
172 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 z y) (/.f64 t (*.f64 z 2)))
1.1b
(/.f64 1 (-.f64 (/.f64 z y) (/.f64 t (*.f64 z 2))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64 times-frac_binary64
13×add-cube-cbrt_binary64
10×difference-of-squares_binary64
6×associate-/r*_binary64 add-exp-log_binary64
5×distribute-lft-out--_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
3×pow1_binary64 associate-/r/_binary64 associate-/l*_binary64
2×flip3--_binary64 div-exp_binary64 flip--_binary64 frac-sub_binary64
1×sub-neg_binary64 diff-log_binary64 1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 div-inv_binary64 pow-flip_binary64
Counts
2 → 61
Calls
2 calls:
10.0ms
(-.f64 (/.f64 z y) (/.f64 t (*.f64 z 2)))
12.0ms
(/.f64 1 (-.f64 (/.f64 z y) (/.f64 t (*.f64 z 2))))

series53.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(-.f64 (/.f64 z y) (/.f64 t (*.f64 z 2)))
32.0ms
(/.f64 1 (-.f64 (/.f64 z y) (/.f64 t (*.f64 z 2))))

simplify71.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
057081522

prune45.0ms

Filtered
41 candidates to 67 candidates (-63.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh112
Picked011
Done011
Total67471

Merged error: 0b

Counts
71 → 4

regimes68.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05919
15919

end0.0ms

sample576.0ms

Algorithm
intervals
Results
374.0ms8000×body80valid

Profiling

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