Details

Time bar (total: 11.6s)

sample50.0ms

Algorithm
intervals
Results
17.0ms53×body1280valid
9.0ms137×body80valid
8.0ms32×body640valid
4.0ms23×body320valid
1.0ms11×body160valid

simplify20.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.8b
(- (cbrt (+ x 1)) (cbrt x))

rewrite45.0ms

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)
41.0ms
(- (cbrt (+ x 1)) (cbrt x))

series422.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(cbrt (+ x 1))
266.0ms
(cbrt x)
111.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.3s

Counts
111 → 111
Iterations
IterNodes
done2002
32002
2955
1414
0184

prune498.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 14.3b

localize36.0ms

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)

rewrite50.0ms

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:
2.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
44.0ms
(- (+ x 1) x)

series692.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(cbrt (+ x 1))
324.0ms
(cbrt x)
309.0ms
(cbrt x)
1.0ms
(- (+ x 1) x)

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done2001
32001
2806
1305
0134

prune445.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

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)

rewrite7.0ms

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

series691.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cbrt (+ x 1))
43.0ms
(cbrt (+ x 1))
300.0ms
(cbrt x)
302.0ms
(cbrt x)

simplify1.1s

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

prune459.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
18×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
7×flip3-+ flip-+
4×expm1-log1p-u frac-times pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×associate-*l/ associate-*r/
1×distribute-lft-out
Counts
4 → 68
Calls
4 calls:
6.0ms
(cbrt (cbrt (+ x 1)))
17.0ms
(cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series724.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt (cbrt (+ x 1)))
50.0ms
(cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))
297.0ms
(cbrt x)
329.0ms
(cbrt x)

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
done2012
42012
31692
2672
1300
0159

prune585.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.2b

regimes320.0ms

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

sample1.4s

Algorithm
intervals
Results
555.0ms1707×body1280valid
311.0ms1286×body640valid
287.0ms4061×body80valid
126.0ms619×body320valid
32.0ms327×body160valid