Details

Time bar (total: 13.9s)

sample47.0ms

Algorithm
intervals
Results
15.0ms48×body1280valid
8.0ms34×body640valid
8.0ms131×body80valid
5.0ms29×body320valid
2.0ms14×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: 29.6b

localize33.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
4.5b
(- (cbrt (+ x 1)) (cbrt x))

rewrite65.0ms

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:
2.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
61.0ms
(- (cbrt (+ x 1)) (cbrt x))

series448.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(cbrt (+ x 1))
288.0ms
(cbrt x)
96.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.1s

Counts
111 → 111
Iterations
IterNodes
done2002
32002
2955
1414
0184

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 14.6b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
32×add-sqr-sqrt
30×cbrt-prod
22×add-cube-cbrt
12×cbrt-div prod-diff
11×pow1 distribute-lft-out
9×swap-sqr add-log-exp
8×pow1/3
7×associate-*r* associate-*l*
6×flip3-+ add-exp-log flip-+
4×expm1-log1p-u frac-times add-cbrt-cube fma-neg insert-posit16 log1p-expm1-u unswap-sqr
2×diff-log pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up distribute-lft-out--
1×pow2 sum-log sub-neg pow-plus flip3-- prod-exp associate--l+ *-commutative cbrt-unprod flip-- difference-of-squares
Counts
4 → 120
Calls
4 calls:
39.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
60.0ms
(- (+ x 1) x)

series616.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
305.0ms
(cbrt x)
271.0ms
(cbrt x)
1.0ms
(- (+ x 1) x)

simplify1.2s

Counts
132 → 132
Iterations
IterNodes
done2001
32001
21099
1370
0164

prune1.4s

Pruning

7 alts after pruning (7 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)) (cbrt (+ x 1)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
31×*-un-lft-identity
23×add-sqr-sqrt
15×add-cube-cbrt
14×cbrt-div
11×pow1
9×pow1/3 swap-sqr
7×flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
6.0ms
(cbrt (+ x 1))
33.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series586.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(cbrt (+ x 1))
45.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
237.0ms
(cbrt x)
242.0ms
(cbrt x)

simplify1.2s

Counts
113 → 113
Iterations
IterNodes
done2000
32000
2837
1324
0146

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
14×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 68
Calls
4 calls:
6.0ms
(cbrt (cbrt (+ x 1)))
6.0ms
(cbrt (cbrt (+ x 1)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series655.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(cbrt (cbrt (+ x 1)))
48.0ms
(cbrt (cbrt (+ x 1)))
265.0ms
(cbrt x)
272.0ms
(cbrt x)

simplify984.0ms

Counts
80 → 80
Iterations
IterNodes
done2005
42005
31131
2452
1204
0103

prune993.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.1b

regimes93.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.6s

Algorithm
intervals
Results
844.0ms1715×body1280valid
290.0ms4101×body80valid
271.0ms1260×body640valid
82.0ms625×body320valid
26.0ms299×body160valid