Details

Time bar (total: 12.7s)

sample35.0ms

Algorithm
intervals
Results
10.0ms53×body1280valid
8.0ms50×body640valid
6.0ms128×body80valid
2.0ms17×body320valid
0.0ms8×body160valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.7b
(- (cbrt (+ x 1)) (cbrt x))

rewrite73.0ms

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)
68.0ms
(- (cbrt (+ x 1)) (cbrt x))

series471.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(cbrt (+ x 1))
287.0ms
(cbrt x)
123.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.2s

Counts
111 → 111
Iterations
IterNodes
done2002
32002
2955
1414
0184

prune918.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 15.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(- (+ x 1) x)

rewrite61.0ms

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:
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
55.0ms
(- (+ x 1) x)

series648.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(cbrt (+ x 1))
330.0ms
(cbrt x)
267.0ms
(cbrt x)
1.0ms
(- (+ x 1) x)

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done2001
32001
2806
1305
0134

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

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)

rewrite11.0ms

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:
5.0ms
(cbrt (+ x 1))
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series689.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (+ x 1))
66.0ms
(cbrt (+ x 1))
269.0ms
(cbrt x)
304.0ms
(cbrt x)

simplify926.0ms

Counts
74 → 74
Iterations
IterNodes
done2002
42002
31020
2405
1180
086

prune783.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize43.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt x)
289.0ms
(cbrt x)
293.0ms
(cbrt x)
303.0ms
(cbrt x)

simplify1.1s

Counts
68 → 68
Iterations
IterNodes
done2002
62002
51192
4406
3186
297
147
027

prune852.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.2b

regimes66.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
567.0ms1755×body1280valid
245.0ms1225×body640valid
243.0ms4036×body80valid
159.0ms657×body320valid
32.0ms327×body160valid