Details

Time bar (total: 16.3s)

sample48.0ms

Algorithm
intervals
Results
17.0ms55×body1280valid
9.0ms139×body80valid
8.0ms32×body640valid
3.0ms17×body320valid
2.0ms13×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: 27.9b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-cbrt-cube add-exp-log insert-posit16 distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 47
Calls
3 calls:
2.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
25.0ms
(- (cbrt (+ x 1)) (cbrt x))

series500.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(cbrt (+ x 1))
289.0ms
(cbrt x)
152.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.4s

Counts
56 → 56
Iterations
IterNodes
done5000
43784
31472
2585
1267
0121

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod *-un-lft-identity
29×add-sqr-sqrt
17×add-cube-cbrt
13×pow1 associate-*r* associate-*l*
12×cbrt-div
10×distribute-lft-out
9×swap-sqr
8×pow1/3 add-exp-log
7×flip3-+ flip-+
6×unswap-sqr
5×add-cbrt-cube
4×frac-times associate-*r/ insert-posit16 add-log-exp
3×pow-prod-down
2×associate-*l/ prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus
Counts
4 → 108
Calls
4 calls:
36.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
52.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series824.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
154.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
293.0ms
(cbrt x)
318.0ms
(cbrt x)

simplify2.8s

Counts
120 → 120
Iterations
IterNodes
done5000
34359
21391
1474
0185

prune595.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×cbrt-prod
15×add-sqr-sqrt
13×associate-*r* add-exp-log
12×cbrt-div
11×pow1 add-cube-cbrt
8×associate-*l/
7×flip3-+ add-cbrt-cube associate-*l* flip-+
6×prod-exp
5×distribute-lft-out
4×frac-times pow-prod-down associate-*r/ cbrt-unprod insert-posit16 add-log-exp
2×pow1/3 *-commutative unswap-sqr
1×distribute-rgt-in distribute-lft-in 1-exp
Counts
4 → 86
Calls
4 calls:
31.0ms
(* (* (cbrt (+ 1 x)) 1) (cbrt (+ 1 x)))
53.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series739.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* (cbrt (+ 1 x)) 1) (cbrt (+ 1 x)))
128.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
246.0ms
(cbrt x)
321.0ms
(cbrt x)

simplify1.9s

Counts
98 → 98
Iterations
IterNodes
done5000
21570
1504
0190

prune560.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
14×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 60
Calls
4 calls:
5.0ms
(cbrt (cbrt (+ 1 x)))
5.0ms
(cbrt (cbrt (+ 1 x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series745.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (cbrt (+ 1 x)))
50.0ms
(cbrt (cbrt (+ 1 x)))
312.0ms
(cbrt x)
334.0ms
(cbrt x)

simplify2.0s

Counts
72 → 72
Iterations
IterNodes
done5001
42631
31040
2432
1198
099

prune460.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes124.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
011

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.0s1766×body1280valid
348.0ms1270×body640valid
296.0ms4052×body80valid
146.0ms596×body320valid
34.0ms316×body160valid