Details

Time bar (total: 16.9s)

sample40.0ms

Algorithm
intervals
Results
15.0ms68×body1280valid
7.0ms39×body640valid
5.0ms118×body80valid
3.0ms18×body320valid
1.0ms13×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
312
212
111
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1)) (cbrt x))

rewrite90.0ms

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:
6.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
80.0ms
(- (cbrt (+ x 1)) (cbrt x))

series555.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(cbrt (+ x 1))
348.0ms
(cbrt x)
153.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify972.0ms

Counts
111 → 111
Iterations
IterNodes
32285
2886
1406
0184

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

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

series730.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(cbrt (+ 1 x))
45.0ms
(cbrt (+ 1 x))
291.0ms
(cbrt x)
323.0ms
(cbrt x)

simplify2.4s

Counts
74 → 74
Iterations
IterNodes
55410
41880
3816
2386
1175
086

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×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 → 54
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt x)
291.0ms
(cbrt x)
290.0ms
(cbrt x)
443.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.6s

Counts
66 → 66
Iterations
IterNodes
54009
41123
3453
2192
190
048

prune1.1s

Pruning

14 alts after pruning (13 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 (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×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 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.6s

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt x)
343.0ms
(cbrt x)
454.0ms
(cbrt (* (cbrt x) (cbrt x)))
498.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.3s

Counts
64 → 64
Iterations
IterNodes
54009
41123
3453
2192
190
048

prune941.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.2b

regimes242.0ms

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
214
114
09

end0.0ms

sample1.6s

Algorithm
intervals
Results
572.0ms4083×body80valid
445.0ms1737×body1280valid
276.0ms1233×body640valid
142.0ms603×body320valid
68.0ms344×body160valid