Details

Time bar (total: 1.1m)

sample47.0ms

Algorithm
intervals
Results
12.0ms49×body1280valid
11.0ms60×body640valid
5.0ms115×body80valid
3.0ms21×body320valid
1.0ms11×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize32.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite636.0ms

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:
16.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt x)
597.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series1.9s

Counts
3 → 9
Calls
3 calls:
184.0ms
(cbrt (+ x 1.0))
866.0ms
(cbrt x)
883.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify14.4s

Counts
108 → 108
Iterations
IterNodes
done5001
33404
21091
1450
0194

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 13.9b

localize133.0ms

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)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
10×cbrt-prod
9×add-log-exp
6×distribute-lft-out
4×pow1 add-exp-log expm1-log1p-u fma-neg add-cbrt-cube log1p-expm1-u
3×pow1/3
2×cbrt-div diff-log distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+ difference-of-squares
Counts
4 → 77
Calls
4 calls:
6.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
2.0ms
(cbrt x)
101.0ms
(- (+ x 1.0) x)

series2.9s

Counts
4 → 12
Calls
4 calls:
545.0ms
(cbrt (+ x 1.0))
1.6s
(cbrt x)
784.0ms
(cbrt x)
2.0ms
(- (+ x 1.0) x)

simplify8.1s

Counts
89 → 89
Iterations
IterNodes
done5000
33394
2918
1343
0145

prune812.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize52.0ms

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)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 58
Calls
4 calls:
8.0ms
(cbrt (+ x 1.0))
8.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.7s

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (+ x 1.0))
173.0ms
(cbrt (+ x 1.0))
527.0ms
(cbrt x)
846.0ms
(cbrt x)

simplify6.7s

Counts
70 → 70
Iterations
IterNodes
done5000
31632
2549
1215
097

prune1.6s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

localize89.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×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 → 61
Calls
4 calls:
2.0ms
(cbrt x)
3.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))

series5.3s

Counts
4 → 12
Calls
4 calls:
447.0ms
(cbrt x)
1.3s
(cbrt (cbrt x))
2.1s
(cbrt (cbrt x))
1.5s
(cbrt (cbrt x))

simplify11.0s

Counts
73 → 73
Iterations
IterNodes
done5001
53724
4994
3373
2174
182
046

prune933.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.2b

regimes814.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done11
111
09

end13.0ms

sample8.0s

Algorithm
intervals
Results
3.8s1737×body1280valid
3.4s1250×body640valid
300.0ms4047×body80valid
113.0ms636×body320valid
77.0ms330×body160valid