Details

Time bar (total: 1.6s)

analyze185.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
02110
12110

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
12×times-frac_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×difference-of-squares_binary64 associate-/l*_binary64
3×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×associate-/l/_binary64
1×add-log-exp_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64
Counts
1 → 34
Calls
1 calls:
6.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)

simplify73.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05911602

prune35.0ms

Filtered
29 candidates to 37 candidates (-27.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538

Merged error: 0.0b

Counts
38 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64
4×associate-*l*_binary64
3×*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×associate-*l/_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 21
Calls
1 calls:
8.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

simplify118.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
04483291
14483291

prune16.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23124
Fresh033
Picked101
Done011
Total24529

Merged error: 0b

Counts
29 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/.f64 6 (-.f64 (*.f64 x x) 3))
0.1b
(/.f64 1 (/.f64 6 (-.f64 (*.f64 x x) 3)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac_binary64
78×add-sqr-sqrt_binary64
62×*-un-lft-identity_binary64 add-cube-cbrt_binary64
22×associate-/r*_binary64
16×difference-of-squares_binary64
15×add-exp-log_binary64
11×associate-/r/_binary64
9×add-cbrt-cube_binary64
8×div-exp_binary64
6×associate-/l*_binary64 div-inv_binary64
5×flip3--_binary64 flip--_binary64
4×cbrt-undiv_binary64
3×pow1_binary64
2×add-log-exp_binary64 1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
1×inv-pow_binary64 pow-flip_binary64
Counts
2 → 129
Calls
2 calls:
6.0ms
(/.f64 6 (-.f64 (*.f64 x x) 3))
10.0ms
(/.f64 1 (/.f64 6 (-.f64 (*.f64 x x) 3)))

series55.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/.f64 6 (-.f64 (*.f64 x x) 3))
35.0ms
(/.f64 1 (/.f64 6 (-.f64 (*.f64 x x) 3)))

simplify91.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
048902770
148902770

prune94.0ms

Filtered
90 candidates to 135 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh033
Picked011
Done011
Total1355140

Merged error: 0b

Counts
140 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (sqrt.f64 3))
0.0b
(+.f64 x (sqrt.f64 3))
0.1b
(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
0.7b
(/.f64 6 (-.f64 x (sqrt.f64 3)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac_binary64
182×*-un-lft-identity_binary64
170×add-sqr-sqrt_binary64
90×add-cube-cbrt_binary64
40×difference-of-squares_binary64
30×associate-/r*_binary64
26×distribute-lft-out_binary64
20×distribute-lft-out--_binary64 sqrt-prod_binary64
13×associate-/r/_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
7×flip3--_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
4×pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
2×flip3-+_binary64 associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
1×sub-neg_binary64 diff-log_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 208
Calls
4 calls:
4.0ms
(-.f64 x (sqrt.f64 3))
4.0ms
(+.f64 x (sqrt.f64 3))
13.0ms
(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
6.0ms
(/.f64 6 (-.f64 x (sqrt.f64 3)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(-.f64 x (sqrt.f64 3))
18.0ms
(+.f64 x (sqrt.f64 3))
92.0ms
(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
22.0ms
(/.f64 6 (-.f64 x (sqrt.f64 3)))

simplify112.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049305589
149305589

prune171.0ms

Filtered
133 candidates to 220 candidates (-65.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2200220
Fresh022
Picked011
Done022
Total2205225

Merged error: 0b

Counts
225 → 5

regimes40.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms

sample263.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid

Profiling

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