Details

Time bar (total: 3.6s)

analyze915.0ms

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14

sample32.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
4.0ms111×body80invalid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05509
15509

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 z t))
6.6b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 associate-/l*_binary64
associate-/l/_binary64 pow1_binary64 flip3--_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 41
Calls
2 calls:
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
6.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

series29.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
17.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

simplify46.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05334577

prune87.0ms

Filtered
37 candidates to 47 candidates (-27.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New371047
Fresh000
Picked011
Done000
Total371148

Merged error: 6.6b

Counts
48 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 z t))
6.7b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
13×associate-*r*_binary64
11×*-un-lft-identity_binary64 add-exp-log_binary64 times-frac_binary64
10×add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64 prod-exp_binary64
flip3--_binary64 associate-*l*_binary64 unswap-sqr_binary64 flip--_binary64
cbrt-unprod_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 51
Calls
2 calls:
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
10.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

series31.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
17.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

simplify45.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05281652

prune74.0ms

Filtered
35 candidates to 57 candidates (-62.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New55257
Fresh279
Picked011
Done011
Total571168

Merged error: 6.6b

Counts
68 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 z t))
0.6b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
6.4b
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64
55×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×associate-/r*_binary64
16×add-exp-log_binary64
11×associate-/r/_binary64
10×add-cbrt-cube_binary64
div-exp_binary64
flip3--_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
add-log-exp_binary64
pow1_binary64 cbrt-undiv_binary64
1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
sub-neg_binary64 diff-log_binary64 inv-pow_binary64 pow-flip_binary64
Counts
3 → 124
Calls
3 calls:
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
8.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
6.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

series57.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
25.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
20.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051932109

prune121.0ms

Filtered
83 candidates to 133 candidates (-60.2%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1303133
Fresh268
Picked011
Done022
Total13212144

Merged error: 6.6b

Counts
144 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 z t))
0.5b
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
6.5b
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac_binary64
221×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
47×add-exp-log_binary64
34×div-exp_binary64
32×div-inv_binary64
31×associate-/r/_binary64
18×associate-/r*_binary64
17×add-cbrt-cube_binary64
16×flip3--_binary64 associate-/l*_binary64 flip--_binary64
1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64
add-log-exp_binary64
pow1_binary64
clear-num_binary64 frac-2neg_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 inv-pow_binary64 pow-flip_binary64
Counts
3 → 299
Calls
3 calls:
6.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
6.0ms
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
14.0ms
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))

series55.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
13.0ms
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
29.0ms
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))

simplify90.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
053376602

prune159.0ms

Filtered
139 candidates to 308 candidates (-121.6%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New3080308
Fresh088
Picked011
Done033
Total30812320

Merged error: 6.6b

Counts
320 → 12

regimes921.0ms

Accuracy

0% (0.3b remaining)

Error of 7.9b against oracle of 7.6b and baseline of 7.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1379

end0.0ms

sample705.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
102.0ms2951×body80invalid

Profiling

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