Details

Time bar (total: 13.9s)

sample46.0ms

Algorithm
intervals
Results
15.0ms54×body1280valid
12.0ms50×body640valid
7.0ms125×body80valid
3.0ms16×body320valid
1.0ms11×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.0b
(- (cbrt (+ x 1)) (cbrt x))

rewrite35.0ms

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)
30.0ms
(- (cbrt (+ x 1)) (cbrt x))

series466.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(cbrt (+ x 1))
282.0ms
(cbrt x)
117.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.1s

Counts
111 → 111
Iterations
IterNodes
done2002
32002
2955
1414
0184

prune959.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 16.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(- (+ x 1) x)

rewrite82.0ms

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:
23.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
56.0ms
(- (+ x 1) x)

series599.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
278.0ms
(cbrt x)
275.0ms
(cbrt x)
1.0ms
(- (+ x 1) x)

simplify1.2s

Counts
132 → 132
Iterations
IterNodes
done2001
32001
21099
1370
0164

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

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)

rewrite56.0ms

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:
5.0ms
(cbrt (+ x 1))
46.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series682.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(cbrt (+ x 1))
58.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
259.0ms
(cbrt x)
309.0ms
(cbrt x)

simplify1.6s

Counts
113 → 113
Iterations
IterNodes
done2000
32000
2837
1324
0146

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt x)
267.0ms
(cbrt x)
274.0ms
(cbrt x)
273.0ms
(cbrt x)

simplify1.1s

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

prune836.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.2b

regimes155.0ms

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
done13
113
09

end0.0ms

sample1.3s

Algorithm
intervals
Results
597.0ms1723×body1280valid
287.0ms1282×body640valid
225.0ms4043×body80valid
93.0ms622×body320valid
30.0ms330×body160valid