Details

Time bar (total: 18.3s)

sample27.0ms

Algorithm
intervals
Results
8.0ms50×body1280valid
5.0ms137×body80valid
4.0ms33×body640valid
2.0ms23×body320valid
1.0ms13×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
4.2b
(- (cbrt (+ x 1)) (cbrt x))

rewrite74.0ms

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 insert-posit16 log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 102
Calls
3 calls:
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
69.0ms
(- (cbrt (+ x 1)) (cbrt x))

series466.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(cbrt (+ x 1))
294.0ms
(cbrt x)
106.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.8s

Counts
111 → 111
Iterations
IterNodes
done5001
32651
2955
1414
0184

prune426.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(- (+ x 1) x)

rewrite55.0ms

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 insert-posit16 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 → 81
Calls
4 calls:
5.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
45.0ms
(- (+ x 1) x)

series610.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(cbrt (+ x 1))
273.0ms
(cbrt x)
286.0ms
(cbrt x)
2.0ms
(- (+ x 1) x)

simplify4.2s

Counts
93 → 93
Iterations
IterNodes
done5000
32140
2806
1305
0134

prune346.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1))
0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite7.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 62
Calls
4 calls:
3.0ms
(cbrt (+ x 1))
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series606.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(cbrt (+ x 1))
57.0ms
(cbrt (+ x 1))
235.0ms
(cbrt x)
265.0ms
(cbrt x)

simplify2.3s

Counts
74 → 74
Iterations
IterNodes
done5001
42936
31020
2405
1180
086

prune403.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt x)
313.0ms
(cbrt x)
290.0ms
(cbrt x)
466.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify2.8s

Counts
66 → 66
Iterations
IterNodes
done5014
54221
41323
3456
2197
190
048

prune436.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.2b

regimes130.0ms

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
done13
113
09

end0.0ms

sample1.3s

Algorithm
intervals
Results
507.0ms1706×body1280valid
314.0ms1215×body640valid
219.0ms4102×body80valid
85.0ms650×body320valid
32.0ms327×body160valid