Details

Time bar (total: 16.3s)

sample27.0ms

Algorithm
intervals
Results
8.0ms59×body1280valid
4.0ms34×body640valid
3.0ms122×body80valid
3.0ms27×body320valid
1.0ms14×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
4.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite87.0ms

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 log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 99
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
80.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series628.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(cbrt (+ x 1.0))
257.0ms
(cbrt x)
231.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.8s

Counts
108 → 108
Iterations
IterNodes
done5000
33359
21096
1449
0194

prune526.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 16.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.6b
(cbrt x)
0.6b
(cbrt x)
3.6b
(- (+ 1.0 x) x)

rewrite84.0ms

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 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 → 77
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
71.0ms
(- (+ 1.0 x) x)

series734.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (+ 1.0 x))
286.0ms
(cbrt x)
299.0ms
(cbrt x)
2.0ms
(- (+ 1.0 x) x)

simplify2.8s

Counts
89 → 89
Iterations
IterNodes
done5001
33130
2939
1341
0145

prune365.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(cbrt (+ 1.0 x))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

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 log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 58
Calls
4 calls:
5.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt x)
1.0ms
(cbrt x)

series778.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (+ 1.0 x))
113.0ms
(cbrt (+ 1.0 x))
322.0ms
(cbrt x)
219.0ms
(cbrt x)

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done5004
31647
2557
1214
097

prune474.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×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 log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
9.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.4s

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt x)
290.0ms
(cbrt x)
407.0ms
(cbrt (cbrt x))
438.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.4s

Counts
65 → 65
Iterations
IterNodes
done5000
41811
3666
2268
1118
064

prune399.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

regimes291.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample1.6s

Algorithm
intervals
Results
799.0ms1759×body1280valid
235.0ms1205×body640valid
214.0ms4062×body80valid
81.0ms663×body320valid
69.0ms311×body160valid