Details

Time bar (total: 4.4s)

sample23.0ms

Algorithm
intervals
Results
8.0ms56×body1280valid
3.0ms39×body640valid
3.0ms123×body80valid
1.0ms25×body320valid
1.0ms13×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104
done104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.7b
(cbrt x)
4.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
add-cube-cbrt add-log-exp
difference-of-squares
pow1 add-exp-log add-cbrt-cube distribute-lft-out--
cbrt-div pow1/3 distribute-lft-out
sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
40.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series417.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
149.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify156.0ms

Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0287358
1934344
24833322
35001322
done5001322

prune150.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 13.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
12.1b
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
pow1 add-exp-log add-cbrt-cube
pow1/3
sub-neg flip3-- diff-log flip--
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
50.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series684.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
177.0ms
(cbrt x)
178.0ms
(cbrt x)
149.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify85.0ms

Counts
57 → 57
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0236383
1681346
22529327
35001315
done5001315

prune197.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 13.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
3.4b
(- (+ x 1.0) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
cbrt-prod add-sqr-sqrt add-log-exp
add-cube-cbrt
pow1 add-exp-log add-cbrt-cube
pow1/3
diff-log distribute-lft-out--
sub-neg flip3-- associate--l+ sum-log flip-- distribute-lft-out difference-of-squares
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
37.0ms
(- (+ x 1.0) x)

series542.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
181.0ms
(cbrt x)
180.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)

simplify35.0ms

Counts
62 → 62
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0108186
1286172
21047163
35001152
done5001152

prune231.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series725.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
178.0ms
(cbrt x)
182.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify123.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136
done5002136

prune205.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.4b

regimes79.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231
12231
done2231

end0.0ms

sample550.0ms

Algorithm
intervals
Results
185.0ms1742×body1280valid
103.0ms1256×body640valid
87.0ms4104×body80valid
34.0ms592×body320valid
12.0ms306×body160valid