Details

Time bar (total: 4.8s)

sample19.0ms

Algorithm
intervals
Results
5.0ms56×body1280valid
3.0ms39×body640valid
2.0ms123×body80valid
1.0ms25×body320valid
0.0ms13×body160valid

simplify5.0ms

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

localize5.0ms

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))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 99
Calls
3 calls:
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
50.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series417.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
185.0ms
(cbrt x)
144.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify52.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04301315
113941045
25001981
done5001981

prune233.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 20.9b

localize16.0ms

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 (* (cbrt x) (cbrt x)))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
15×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
7×fma-neg prod-diff
6×add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
2×distribute-lft-out
1×sub-neg flip3-- diff-log flip--
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
56.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

series692.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
179.0ms
(cbrt x)
179.0ms
(cbrt x)
153.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

simplify101.0ms

Counts
79 → 79
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0278677
1832602
23218584
35001583
done5001583

prune317.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.6b

localize23.0ms

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)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
9×cbrt-prod add-log-exp
5×distribute-lft-out
4×pow1 add-exp-log expm1-log1p-u fma-neg add-cbrt-cube log1p-expm1-u
3×pow1/3
2×diff-log distribute-lft-out--
1×sub-neg flip3-- associate--l+ sum-log flip-- difference-of-squares
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
44.0ms
(- (+ x 1.0) x)

series551.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
187.0ms
(cbrt x)
182.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)

simplify131.0ms

Counts
86 → 86
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0161357
1565244
23823214
35001206
done5001206

prune329.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
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:
188.0ms
(cbrt x)
178.0ms
(cbrt x)
180.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify131.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152
done5001152

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes22.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03341
13741
23741
done3741

end0.0ms

sample495.0ms

Algorithm
intervals
Results
166.0ms1742×body1280valid
87.0ms1256×body640valid
81.0ms4104×body80valid
30.0ms592×body320valid
11.0ms306×body160valid