Details

Time bar (total: 9.6s)

sample25.0ms

Algorithm
intervals
Results
7.0ms53×body1280valid
4.0ms137×body80valid
2.0ms33×body320valid
2.0ms25×body640valid
0.0msbody160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
done107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite89.0ms

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:
8.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
77.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series614.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(cbrt (+ x 1.0))
258.0ms
(cbrt x)
233.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.3s

Counts
53 → 53
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0131649
1805597
done5001547

prune261.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(- (+ x 1.0) x)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
10×cbrt-prod
add-sqr-sqrt add-log-exp
add-cube-cbrt
pow1 add-exp-log add-cbrt-cube
pow1/3
cbrt-div diff-log distribute-lft-out distribute-lft-out--
sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+ difference-of-squares
Counts
4 → 53
Calls
4 calls:
8.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
80.0ms
(- (+ x 1.0) x)

series752.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (+ x 1.0))
315.0ms
(cbrt x)
311.0ms
(cbrt x)
2.0ms
(- (+ x 1.0) x)

simplify855.0ms

Counts
65 → 65
Iterations

Useful iterations: done (853.0ms)

IterNodesCost
0119502
1435479
done5001420

prune269.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube add-log-exp
flip3-+ flip-+ distribute-lft-out
Counts
4 → 50
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
12.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series856.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (+ x 1.0))
144.0ms
(cbrt (+ x 1.0))
297.0ms
(cbrt x)
271.0ms
(cbrt x)

simplify699.0ms

Counts
62 → 62
Iterations

Useful iterations: done (695.0ms)

IterNodesCost
093572
1331544
done5000472

prune412.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube add-log-exp
flip3-+ flip-+ distribute-lft-out
Counts
4 → 50
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series807.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (+ x 1.0))
129.0ms
(cbrt (+ x 1.0))
296.0ms
(cbrt x)
265.0ms
(cbrt x)

simplify631.0ms

Counts
62 → 62
Iterations

Useful iterations: done (629.0ms)

IterNodesCost
093572
1331544
done5000472

prune450.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

regimes90.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: done (3.0ms)

IterNodesCost
01426
12126
done2124

end0.0ms

sample1.2s

Algorithm
intervals
Results
486.0ms1757×body1280valid
222.0ms1250×body640valid
203.0ms4045×body80valid
68.0ms626×body320valid
22.0ms322×body160valid