Details

Time bar (total: 20.3s)

sample56.0ms

Algorithm
intervals
Results
18.0ms55×body1280valid
14.0ms139×body80valid
8.0ms32×body640valid
3.0ms17×body320valid
2.0ms13×body160valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.9b
(- (cbrt (+ x 1)) (cbrt x))

rewrite48.0ms

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:
14.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
30.0ms
(- (cbrt (+ x 1)) (cbrt x))

series457.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(cbrt (+ x 1))
300.0ms
(cbrt x)
113.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.5s

Counts
111 → 111
Iterations
IterNodes
done5001
32651
2955
1414
0184

prune402.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 14.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(- (+ x 1) x)

rewrite88.0ms

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:
27.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
2.0ms
(cbrt x)
1.0ms
(cbrt x)
56.0ms
(- (+ x 1) x)

series604.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
266.0ms
(cbrt x)
270.0ms
(cbrt x)
1.0ms
(- (+ x 1) x)

simplify5.2s

Counts
132 → 132
Iterations
IterNodes
done5017
32773
21099
1370
0164

prune463.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

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)

rewrite44.0ms

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:
4.0ms
(cbrt (+ x 1))
36.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series543.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(cbrt (+ x 1))
41.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
203.0ms
(cbrt x)
247.0ms
(cbrt x)

simplify2.8s

Counts
113 → 113
Iterations
IterNodes
done5000
44870
32114
2837
1324
0146

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize63.0ms

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)

rewrite8.0ms

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

series718.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(cbrt (cbrt (+ x 1)))
65.0ms
(cbrt (cbrt (+ x 1)))
313.0ms
(cbrt x)
285.0ms
(cbrt x)

simplify2.1s

Counts
80 → 80
Iterations
IterNodes
done5000
42885
31131
2452
1204
0103

prune998.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

regimes142.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.7s

Algorithm
intervals
Results
703.0ms4052×body80valid
487.0ms1766×body1280valid
290.0ms1270×body640valid
82.0ms596×body320valid
32.0ms316×body160valid