Details

Time bar (total: 16.6s)

sample26.0ms

Algorithm
intervals
Results
7.0ms53×body1280valid
4.0ms39×body640valid
4.0ms129×body80valid
2.0ms28×body320valid
0.0ms7×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize11.0ms

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))

rewrite69.0ms

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×expm1-log1p-u pow1 add-cbrt-cube add-exp-log 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:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
62.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series643.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(cbrt (+ x 1.0))
304.0ms
(cbrt x)
221.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify3.0s

Counts
108 → 108
Iterations
IterNodes
done5000
33359
21096
1449
0194

prune417.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 14.5b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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×expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log log1p-expm1-u
3×pow1/3
2×cbrt-div diff-log distribute-lft-out--
1×sum-log sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
4.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
38.0ms
(- (+ 1.0 x) x)

series606.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (+ 1.0 x))
256.0ms
(cbrt x)
250.0ms
(cbrt x)
2.0ms
(- (+ 1.0 x) x)

simplify2.5s

Counts
89 → 89
Iterations
IterNodes
done5001
33130
2939
1341
0145

prune421.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series749.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (+ 1.0 x))
125.0ms
(cbrt (+ 1.0 x))
243.0ms
(cbrt x)
255.0ms
(cbrt x)

simplify1.8s

Counts
70 → 70
Iterations
IterNodes
done5004
31647
2557
1214
097

prune424.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log 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)

series1.1s

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt x)
261.0ms
(cbrt x)
242.0ms
(cbrt x)
312.0ms
(cbrt x)

simplify2.6s

Counts
64 → 64
Iterations
IterNodes
done5054
63384
5991
4413
3169
296
146
026

prune471.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

regimes78.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
774.0ms1652×body1280valid
183.0ms4138×body80valid
178.0ms1274×body640valid
101.0ms640×body320valid
20.0ms296×body160valid